If (5x+14),(4x-5) are complementary angles then the angles are
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Answer:
59° and 31°
Step-by-step explanation:
If (5x+14), (4x-5) are complementary angles, then their sum should be 90°.
(5x+14) + (4x-5) = 90
5x + 14 + 4x - 5 = 90
9x + 9 = 90
9x = 90 - 9
9x = 81
x = 81/9
x = 9
Therefore, angles are:
(5x+14) = 5×9+14 = 45 + 14 = 59°
(4x-5) = 4×9-5 = 36 - 5 = 31°
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